In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 16. Determine FH.

AWESOMEEE
May 14, 2015

#3**+13 **

sinA = 16/18

angle A = 62.73^{o}

FH = 27*sin62.73^{o}

FH = 24

Same answer, but I like yours better, geno!

civonamzuk
May 14, 2015

#1**+13 **

The area of a parallelogram can be found by multiplying a side times the height to that side.

Since you will get the same answer using whatever side you want to use:

Area = FH x AD = EG x DC

---> FH x 18 = 16 x 27

---> FH = 24

geno3141
May 14, 2015

#3**+13 **

Best Answer

sinA = 16/18

angle A = 62.73^{o}

FH = 27*sin62.73^{o}

FH = 24

Same answer, but I like yours better, geno!

civonamzuk
May 14, 2015